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# View of /trunk/NationalProblemLibrary/WHFreeman/Rogawski_Calculus_Early_Transcendentals_Second_Edition/Textbooks

Tue Nov 8 15:17:41 2011 UTC (18 months, 1 week ago) by aubreyja
File size: 4726 byte(s)
`Rogawski problems contributed by publisher WHFreeman. These are a subset of the problems available to instructors who use the Rogawski textbook. The remainder can be obtained from the publisher.`

```    1 TitleText('Calculus: Early Transcendentals')
2 EditionText('1')
3 AuthorText('Rogawski')
4
5 1 >>> Precalculus Review
6 1.1 >>> Real Numbers, Functions, and Graphs
7 1.2 >>> Linear and Quadratic Functions
8 1.3 >>> The Basic Classes of Functions
9 1.4 >>> Trigonometric Functions
10 1.5 >>> Inverse Functions
11 1.6 >>> Exponential and Logarithmic Functions
12 1.7 >>> Technology: Calculators and Computers
13 2 >>> Limits
14 2.1 >>> Limits, Rates of Change, and Tangent Lines
15 2.2 >>> Limits: A Numerical and Graphical Approach
16 2.3 >>> Basic Limit Laws
17 2.4 >>> Limits and Continuity
18 2.5 >>> Evaluating Limits Algebraically
19 2.6 >>> Trigonometric Limits
20 2.7 >>> Intermediate Value Theorem
21 2.8 >>> The Formal Definition of a Limit
22 3 >>> Differentiation
23 3.1 >>> Definition of the Derivative
24 3.2 >>> The Derivative as a Function
25 3.3 >>> Product and Quotient Rules
26 3.4 >>> Rates of Change
27 3.5 >>> Higher Derivatives
28 3.6 >>> Trigonometric Functions
29 3.7 >>> The Chain Rule
30 3.8 >>> Implicit Differentiation
31 3.9 >>> Derivatives of Inverse Functions
32 3.10 >>> Derivatives of General Exponential and Logarithmic Functions
33 3.11 >>> Related Rates
34 4 >>> Applications of the Derivative
35 4.1 >>> Linear Approximation and Applications
36 4.2 >>> Extreme Values
37 4.3 >>> The Mean Value Theorem and Monotonicity
38 4.4 >>> The Shape of a Graph
39 4.5 >>> Graph Sketching and Asymptotes
40 4.6 >>> Applied Optimization
41 4.7 >>> L'Hopital's Rule
42 4.8 >>> Newton's Method
43 4.9 >>> Antiderivatives
44 5 >>> The Integral
45 5.1 >>> Approximating and Computing Area
46 5.2 >>> The Definite Integral
47 5.3 >>> The Fundamental Theorem of Calculus, Part I
48 5.4 >>> The Fundamental Theorem of Calculus, Part II
49 5.5 >>> Net or Total Change as the Integral of a Rate
50 5.6 >>> Substitution Method
51 5.7 >>> Further Transcendental Functions
52 5.8 >>> Exponential Growth and Decay
53 6 >>> Applications of the Integral
54 6.1 >>> Area Between Two Curves
55 6.2 >>> Setting Up Integrals: Volumes, Density, Average Value
56 6.3 >>> Volumes of Revolution
57 6.4 >>> The Method of Cylindrical Shells
58 6.5 >>> Work and Energy
59 7 >>> Techniques of Integration
60 7.1 >>> Numerical Integration
61 7.2 >>> Integration by Parts
62 7.3 >>> Trigonometric Integrals
63 7.4 >>> Trigonometric Substitution
64 7.5 >>> Integrals of Hyperbolic and Inverse Hyperbolic Functions
65 7.6 >>> The Method of Partial Fractions
66 7.7 >>> Improper Integrals
67 8 >>> Further Applications of the Integral and Taylor Polynomials
68 8.1 >>> Arc Length and Surface Area
69 8.2 >>> Fluid Pressure and Force
70 8.3 >>> Center of Mass
71 8.4 >>> Taylor Polynomials
72 9 >>> Introduction to Differential Equations
73 9.1 >>> Solving Differential Equations
74 9.2 >>> Models Involving y'=k(y-b)
75 9.3 >>> Graphical and Numerical Methods
76 9.4 >>> The Logistic Equation
77 9.5 >>> First-Order Linear Equations
78 10 >>> Infinite Series
79 10.1 >>> Sequences
80 10.2 >>> Summing an Infinite Series
81 10.3 >>> Convergence of Series with Positive Terms
82 10.4 >>> Absolute and Conditional Convergence
83 10.5 >>> The Ratio and Root Tests
84 10.6 >>> Power Series
85 10.7 >>> Taylor Series
86 11 >>> Parametric Equations, Polar Coordinates, and Conic Sections
87 11.1 >>> Parametric Equations
88 11.2 >>> Arc Length and Speed
89 11.3 >>> Polar Coordinates
90 11.4 >>> Area and Arc Length in Polar Coordinates
91 11.5 >>> Conic Sections
92 12 >>> Vector Geometry
93 12.1 >>> Vectors in the Plane
94 12.2 >>> Vectors in Three Dimensions
95 12.3 >>> Dot Product and the Angle Between Two Vectors
96 12.4 >>> The Cross Product
97 12.5 >>> Planes in Three-Space
98 12.6 >>> A Survey of Quadric Surfaces
99 12.7 >>> Cylindrical and Spherical Coordinates
100 13 >>> Calculus of Vector-Valued Functions
101 13.1 >>> Vector-Valued Functions
102 13.2 >>> Calculus of Vector-Valued Functions
103 13.3 >>> Arc Length and Speed
104 13.4 >>> Curvature
105 13.5 >>> Motion in Three-Space
106 13.6 >>> Planetary Motion According to Kepler and Newton
107 14 >>> Differentiation in Several Variables
108 14.1 >>> Functions in Two or More Variables
109 14.2 >>> Limits and Continuity in Several Variables
110 14.3 >>> Partial Derivatives
111 14.4 >>> Differentiability, Linear Approximation, and Tangent Planes
112 14.5 >>> The Gradient and Directional Derivatives
113 14.6 >>> The Chain Rule
114 14.7 >>> Optimization in Several Variables
115 14.8 >>> Lagrange Multipliers: Optimizing with a Constraint
116 15 >>> Multiple Integration
117 15.1 >>> Integrals in Several Variables
118 15.2 >>> Double Integrals over More General Regions
119 15.3 >>> Triple Integrals
120 15.4 >>> Integration in Polar, Cylindrical, and Spherical Coordinates
121 15.5 >>> Change of Variables
122 16 >>> Line and Surface Integrals
123 16.1 >>> Vector Fields
124 16.2 >>> Line Integrals
125 16.3 >>> Conservative Vector Fields
126 16.4 >>> Parametrized Surfaces and Surface Integrals
127 16.5 >>> Integrals of Vector Fields
128 17 >>> Fundamental Theorems of Vector Analysis
129 17.1 >>> Green's Theorem
130 17.2 >>> Stokes' Theorem
131 17.3 >>> Divergence Theorem```